This is computer artitecture class. please explain thanks i.The 2\'s complement

ID: 3818218 • Letter: T

Question

This is computer artitecture class. please explain thanks

i.The 2's complement of 1100 in an 8-bit system is?

ii.The binary value of the Hexadecimal number B1 is?

iii.The decimal value of the binary number 1101 in a 5-bit 2's complement is?

iv.What is the eight-bit bias plus exponent for the binary number 1.001 x 2^2 in single precision IEEE 754 format?

v. The IEEE representation for the number 0100 0001 1011 0000 0000 0000 0000 0000 tells us that this number has a fraction equal to binary value?

1.Twos complement is first right the binary format and then invert 0to1 ,1to 0 and then add 1.

0000 1100 binary format 8bit

1111 0011 invert 0-1,1-0

1111 0100 add 1

Add 1to right most 1+1 is 0 and carry 1,1+0=1,0+1=1

2.to convert a hexa decimal to binary .1means 0001,2means 0010,3 means 0011....4,5,6,7,8,9,A means 10 I.e 1010,B -11-1011,c-12-1100,d..f-15-1111.

So B1 = 1011 0001

3.first convert binary to 2s complement ime in5 bits.

0 1101

1 0010 invert 1-0,0-1

1 0011 add 1.

Convert this binary to decimal ,it's multiplying powers of 2 from right most end with the binary bit value.

2^0*1+2^1*1+2^2*0+2^3*0+2^4*1=1+2+16=19

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