BINARY HELP - Multiply the numbers -0.95 and 1/10 in binary using a 4-bit repres

Question

BINARY HELP - Multiply the numbers -0.95 and 1/10 in binary using a 4-bit representation.

This is my work so far but my professor told me it was incorrect. What am I doing wrong???

Multiply the numbers -0.95 and 1/10 in binary using a 4-bit representation.

-0.95:

0.95 x 2 = 0.9 (1)

0.9 x 2 = 0.8 (1)

0.8 x 2 = 0.6 (1)

0.6 x 2 = 0.2 (1)

0.2 x 2 =0.4 (0) = -0.11110 x 2^0

Normalize: -1.1110 x 2^-1

1/10 = 0.1

x 2 = 0.2 (0)

x 2 = 0.4 (0)

0.4x 2 = 0.8 (0)

0.8 x 2 = 0.6 (1)

0.6 x 2 = 0.2 (1)

0.2 x 2 = 0.4 (0) = 0.000110 x 2^0

Normalize: 1.10 x 2^-4

MULTIPLY: -0.95 x 0.1 =

-1.1110

x 1.10

= -1.111 x 1.1 = 1000.100 normalize: 1.0001000 x 2^-3

Multiply the numbers -0.95 and 1/10 in binary using a 4-bit representation.

-0.95:

0.95 x 2 = 0.9 (1)

0.9 x 2 = 0.8 (1)

0.8 x 2 = 0.6 (1)

0.6 x 2 = 0.2 (1)

0.2 x 2 =0.4 (0) = -0.11110 x 2^0

Normalize: -1.1110 x 2^-1

1/10 = 0.1

x 2 = 0.2 (0)

x 2 = 0.4 (0)

0.4x 2 = 0.8 (0)

0.8 x 2 = 0.6 (1)

0.6 x 2 = 0.2 (1)

0.2 x 2 = 0.4 (0) = 0.000110 x 2^0

Normalize: 1.10 x 2^-4

MULTIPLY: -0.95 x 0.1 =

-1.1110

x 1.10

= -1.111 x 1.1 = 1000.100 normalize: 1.0001000 x 2^-3

Explanation / Answer

since it is -0.95= 0.05. find the binary form of 0.05 i.e. 1.100 *2^-5.

and 0.1 is 1.10* 2^-4.

then multiply and get the normalised value.

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