SECTION V $-$ TRANSLATING BINARY NUMBERS TO HEXADECIMAL NUMBERS $-5$ POINTS

In computers and digital technology, a nibble $($pronounced NIHB$-$uhl; sometimes spelled nybble$)$ is four binary digits or half of an eight$-$bit byte. A nibble can be conveniently represented by one hexadecimal digit.

Enter the binary number into the table from right to left $($skipping the "Enter decimal number" cell$),$ adding the preceding zeros to the beginning of the number to make it $8$ digits.

Calculate the decimal number for each nibble and enter it into the "Enter decimal number" cell.

Translate the decimal number to the hexadecimal number. $($Be careful to place them in the same order.

Use the Ox prefix to indicate that it is a hexadecimal number in the Hex Number column.

Binary Number

Hex Number

$q,$

Enter hex number

$q,$

Enter hex number

Revised Fall $2024$

Page $|5$

SECTION VI $-$ TRANSLATING HEXADECIMAL NUMBERS TO DECIMAL NUMBERS $-5$ POINTS

Sticking with the idea of one hexadecimal character translating into a nibble, we can convert a series of hexadecimal numbers into a Power$-$of$-2$ table. $($Note: it would be helpful for you to create a digital to hex number chart. These are all hex numbers. If there is only one digit, you assume there is a zero for the left nibble$).$

In each problem you have a two$-$digit hexadecimal number $($if there is only one number, the first hexadecimal is zero.$)$

Using your digital to hex number chart, convert the digital to binary in the first chart for each of the two hexadecimal numbers.

Transfer the binary numbers in the into the second Power$-$of$-2$ table.

Calculate the decimal number from the table and enter the "Enter decimal number" space.

Hexadecimal

Decimal

Number

Number

Problem $1$

Ox$3$E

$\backslash$table$[[2^3,2^2,2^1,2^0,,2^3,2^2,2^1,2^0$