Respuesta :
For signed-magnitude numbers, the most significant bit (leftmost) is used for the sign. 1 is negative and 0 is positive. We also read from right to left.
a. 10011001
2^0 + 2^3 + 2^4 = 1 + 8 + 16 = 25, and the final answer should be -25 because there's a 1 on the leftmost.
b. 01110100
2^2 + 2^4 + 2^5 + 2^6 = 4 + 16 + 32 + 64 = 116, and this is the final answer because there's a 0 on the leftmost.
c. 10111111
2^0 + 2^1 + 2^2 + 2^3 + 2^4 + 2^5 = 1 + 2 + 4 + 8 + 16 + 32 = 63, and the final answer is -63 because there'a 1 on the leftmost.
a. 10011001
2^0 + 2^3 + 2^4 = 1 + 8 + 16 = 25, and the final answer should be -25 because there's a 1 on the leftmost.
b. 01110100
2^2 + 2^4 + 2^5 + 2^6 = 4 + 16 + 32 + 64 = 116, and this is the final answer because there's a 0 on the leftmost.
c. 10111111
2^0 + 2^1 + 2^2 + 2^3 + 2^4 + 2^5 = 1 + 2 + 4 + 8 + 16 + 32 = 63, and the final answer is -63 because there'a 1 on the leftmost.
The decimal value of each signed binary number in the sign-magnitude form are as follows;
(a) 10011001 = 153
(b) 01110100 = 116
(c) 10111111 = 191
What is a conversion of the number system?
The number conversion deals with the operation to change the base of the number.
Binary number - It contains only 2 numbers that are 1 and 0.
Decimal number = It contains 10 numbers that are from 0 to 9.
Determine the decimal value of each signed binary number in the sign-magnitude form:
(a) 10011001 - The binary numbers can be converted into decimal numbers will be
[tex]10011001 = 1*2^7+0*2^6+0*2^5+1*2^4+1*2^3+0*2^2+0*2^1+1*2^0\\\\10011001 = 128 + 16 + 8 + 1\\\\10011001 = 153[/tex]
(b) 01110100 -The binary numbers can be converted into decimal numbers will be
[tex]01110100 = 0*2^7+1*2^6+1*2^5+1*2^4+0*2^3+1*2^2+0*2^1+0*2^0\\\\01110100 = 64 + 32 + 16 + 4 \\\\01110100 = 116[/tex]
(c) 10111111 - The binary numbers can be converted into decimal numbers will be
[tex]10111111 = 1*2^7+0*2^6+1*2^5+1*2^4+1*2^3+1*2^2+1*2^1+1*2^0\\\\10111111 =128 + 32+ 16+8+4+2+1 \\\\\10111111 = 191[/tex]
More about the conversion of the number system link is given below.
https://brainly.com/question/655411
