Implement and test LC-3 assembly language subroutines PUTBIN, PUTHEX and PUTDEC to display an unsigned integer in either Binary, Hexadecimal or Decimal format respectively. The algorithms described below always output 16 binary digits (PUTBIN) or 4 hexadecimal digits (PUTHEX). The number of decimal digits displayed (PUTDEC) depends on the magnitude of the integer.

Algorithms:

Binary

loop 16 times

Test datum[15] and output x30 (ASCII 0) or x31(ASCII 1) accordingly

Left_Shift( datum )

endloop

Hexadecimal

loop 4 times

Rotate_Left( datum ) 4 places

//b₁₅b₁₄b₁₃b₁₂ b₁₁b₁₀b₉b₈ b₇b₆b₅b₄ b₃b₂b₁b₀ b₁₁b₁₀b₉b₈ b₇b₆b₅b₄ b₃b₂b₁b₀ b₁₅b₁₄b₁₃b₁₂

Mask bits[15:4]

// b₁₁b₁₀b₉b₈ b₇b₆b₅b₄ b₃b₂b₁b₀ b₁₅b₁₄b₁₃b₁₂ 0000 0000 0000 b₁₅b₁₄b₁₃b₁₂

Output the ASCII char corresponding to hexadecimal digit in bits[3:0]

endloop

Decimal

Obtain the individual decimal digits via repeated division by 10. Each numeric digit is converted into its ASCII character equivalent. Since the digits are obtained in reverse order, they should be stored into memory as they are obtained to form a 0-terminated character string (see diagram). Finally, print the string via the TRAP x22 instruction.

I need to implement these algorithms in LC- 3 Assembly language to transform an integer into binary, hexadecimal, and decimal can someone explain to me these algorithms?