diff options
Diffstat (limited to '275/CH8/EX8.8.21/Ch8_8_21.sce')
-rwxr-xr-x | 275/CH8/EX8.8.21/Ch8_8_21.sce | 182 |
1 files changed, 182 insertions, 0 deletions
diff --git a/275/CH8/EX8.8.21/Ch8_8_21.sce b/275/CH8/EX8.8.21/Ch8_8_21.sce new file mode 100755 index 000000000..53a3b7837 --- /dev/null +++ b/275/CH8/EX8.8.21/Ch8_8_21.sce @@ -0,0 +1,182 @@ +kclc
+clear
+disp("Example 8.21")
+printf("\n")
+disp("Add the following binary numbers")
+disp("a)11011 & 10110 b)1100 & 111 c)10.1011 & 11.011")
+//Given binary number
+i=1;w=1
+a=11011
+b=10110
+//Given binary number
+i=1;w=1
+bin=11.101
+//separating integer part
+IPa=floor(a)
+IP1a=IPa
+//separating decimal part
+DPa=modulo(a,1)
+DP1a=DPa
+//converting decimal value to interger
+p=4
+DPa=DPa*10^p //should change power of 10 as according to number of digits in decimal digit
+
+//storing each integer digit in I(i)
+while(IPa>0)
+ Ia(i)=modulo(IPa,10);
+ IPa=floor(IPa/10);
+ i=i+1;
+ end
+//storing each decimal digit in D(w)
+while(DPa>0)
+ Da(w)=modulo(DPa,2)
+ DPa=(DPa/10)
+ DPa=floor(DPa)
+ w=w+1;
+ end
+ //to do zero padding of remaining erm of D(w)
+ if(DP1a<1)
+ if(DP1a>0)
+if(length(Da)<p)
+ q=length(Da)
+ for f=q+1 :p
+ Da(f)=0
+ end
+ end
+end
+end
+
+if(IP1a>0)
+for i=1:length(Ia)//checking whether it is a binary number or not
+ if(Ia(i)>1) then
+ disp('not a binary number')
+ abort
+ end
+ end
+end
+if(IP1a>0)
+IPa=0
+for i=1:length(Ia)
+//multipliying bits of integer part with their position values and adding
+ IPa=IPa+(Ia(i)*2^(i-1))
+ end
+ end
+ DPa=0
+ if(DP1a>0)
+ if(DP1a<1)
+for z=1:length(Da)
+//multipliying bits of decimal part with their position values and adding
+ DPa=DPa+(Da(z)*2^(-1*(length(Da)+1-z)))
+ end
+end
+end
+decimala=IPa+DPa
+//displaying the output
+disp(decimala)
+
+//for b
+//Given binary number
+i=1;w=1
+//separating integer part
+IPb=floor(b)
+IP1b=IPb
+//separating decimal part
+DPb=modulo(b,1)
+DP1b=DPb
+//converting decimal value to interger
+p=3
+DPb=DPb*10^p //should change power of 10 as according to number of digits in decimal digit
+
+//storing each integer digit in I(i)
+while(IPb>0)
+ Ib(i)=modulo(IPb,10);
+ IPb=floor(IPb/10);
+ i=i+1;
+ end
+//storing each decimal digit in D(w)
+while(DPb>0)
+ Db(w)=modulo(DPb,2)
+ DPb=(DPb/10)
+ DPb=floor(DPb)
+ w=w+1;
+ end
+ //to do zero padding of remaining erm of D(w)
+ if(DP1b>0)
+ if(DP1b<1)
+if(length(Db)<p)
+ q=length(Db)
+ for f=q+1 :p
+ Db(f)=0
+ end
+ end
+end
+end
+if(IP1b>0)
+for i=1:length(Ib)//checking whether it is a binary number or not
+ if(Ib(i)>1) then
+ disp('not a binary number')
+ abort
+ end
+ end
+end
+if(IP1b>0)
+IPb=0
+for i=1:length(Ib)
+//multipliying bits of integer part with their position values and adding
+ IPb=IPb+(Ib(i)*2^(i-1))
+ end
+ end
+DPb=0
+if(DP1b>0)
+ if(DP1b<1)
+ for z=1:length(Db)
+//multipliying bits of decimal part with their position values and adding
+ DPb=DPb+(Db(z)*2^(-1*(length(Db)+1-z)))
+ end
+end
+end
+decimalb=IPb+DPb
+//displaying the output
+disp(decimalb)
+
+sum1=decimala+decimalb
+i=1;x=1
+
+//separating integer part
+IP=floor(sum1)
+IP1=IP
+//separating decimal part
+DP=modulo(sum1,1)
+//storing each integer digit in I(i)
+while(IP>0)
+ I(i)=(modulo(floor(IP),2))
+ IP=floor(IP)/2
+ i=i+1
+end
+if(IP1>0)
+IP=0
+for j=1:length(I)
+//multipliying bits of integer part with their position values and adding
+ IP=IP+(I(j)*10^(j-1));
+ end
+else
+ IP=0
+end
+
+//storing each decimal digit in D(x)
+while(x<=4)
+ DP=DP*2
+ D(x)=floor(DP)
+ x=x+1
+ DP=modulo(DP,1)
+end
+
+DP=0
+for j=1:length(D)
+//multipliying bits of decimal part with their position values and adding
+ DP=DP+(10^(-1*j)*D(j))
+end
+Binary=IP+DP;
+printf("Sum")
+disp(Binary)
+
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